C++ : Design a class named LinearEquation for a 2 X 2 system of linear equations

Question

C++: Design a class named LinearEquation for a 2 X 2 system of linear equations:

ax + by = e

cx + dy = f

x = (ed - bf)/(ad-bc)

y = (af - ec)/(ad-bc)

The class contains:

- Private data fields a, b, c, d, e, and f.

- A constructor with the arguments for a, b, c, d, e, and f.

- Six get functions for a, b, c, d, e, and f.

- A function named isSolvable() that returns true if ad - bc is not 0.

- Functions getX() and getY() that return the solution for the equation.

Write a test program that prompts the user to

enter a, b, c, d, e, and f and displays the result. If ad - bc is 0, report that the equation has no solution

Explanation / Answer

Main Program:

CODE:

public class LinearEquation {
   private double a;
   private double b;
   private double c;
   private double d;
   private double e;
   private double f;
   private double x;
   private double y;

      
   LinearEquation(double aa, double bb, double cc, double dd, double ee, double ff) {
a = aa;
b = bb;
c = cc;
d = dd;
e = ee;
f = ff;
}

   boolean isSolvable() {
       if (a*d-b*c != 0) return true;
           else return false;
   }

   double getX() {
       double x = ((e*d)-(b*f)/(a*d-b*c));
       return x;
   }

   double getY() {
       double y = ((a*f-e*c)/(a*d-b*c));
       return y;
   }

   double getA() {
       return a;
   }

   void setA(double newA){
       a = newA;
   }
  
   double getB(){
       return b;
   }

   void setB(double newB){
       b = newB;
   }

   double getC() {
       return c;
   }

   void setC(double newC){
       c = newC;
   }
  
   double getD() {
       return d;
   }

   void setD(double newD) {
       d = newD;
   }

   double getE() {
       return e;
   }

   void setE(double newE) {
       e = newE;
   }

   double getF() {
       return f;
   }

   void setF(double newF) {
       f = newF;
   }
}

Test Program:

CODE:

import java.util.Scanner;
public class Linearrr {
   public static void main(String[] thy){
      
       Scanner ipt = new Scanner(System.in);
       System.out.println("Enter an Integer for Each of The Following Varables: a, b, c, d, e, f: ");
       double a = ipt.nextDouble();
       double b = ipt.nextDouble();
       double c = ipt.nextDouble();
       double d = ipt.nextDouble();
       double e = ipt.nextDouble();
       double f = ipt.nextDouble();
      
       LinearEquation leq=new LinearEquation(a,b,c,d,e,f);
       leq.isSolvable();
       leq.getX();
       leq.getY();
       ipt.close();

   }

}

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